Mobility edge in aperiodic Kronig-Penney potentials with correlated disorder: Perturbative approach - art. no. 041102

It is shown that a nonperiodic Kronig-Penney model exhibits mobility edges if the positions of the scatterers are correlated at long distances. An ana lytical expression for the energy-dependent localization length is derived fur weak disorder in terms of the real-space correlators defining the struc tural disorder in these systems. We also present an algorithm to construct a nonperiodic but correlated sequence exhibiting desired mobility edges. Th is result could be used to construct window filters in electronic, acoustic , or photonic nonperiodic structures.